The applications of non-euclidean distance | Metric Spaces

The applications of non-euclidean distance | Metric Spaces

Assessment

Interactive Video

Information Technology (IT), Architecture, Physics, Science

11th Grade - University

Hard

Created by

Quizizz Content

FREE Resource

The video explores the concept of distance beyond Euclidean space, discussing various metrics like taxicab and maximum metrics. It highlights real-world applications in digital communications, crime solving, and chess. The video also explains the requirements for a valid metric and introduces non-metric distance functions. Advanced concepts like the Hamming distance and its applications in information theory are covered, emphasizing the importance of metrics in space-time and relativity.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How would light behave differently if we lived in a hyperbolic space?

It would travel in straight lines.

It would curve more than in Euclidean space.

It would not be affected at all.

It would travel faster than in Euclidean space.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In chess, what is the minimum number of moves a king needs to travel between two squares?

The number of turns needed.

The number of pieces in between.

The number of diagonal moves required.

The number of squares between them.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a key requirement for a function to be considered a distance function?

It must satisfy the triangle inequality.

It must be zero for different points.

It must always be negative.

It must be asymmetric.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a metric in the context of distance?

A function that measures time.

A function that measures area.

A function that defines distance between two points.

A function that calculates speed.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which metric is used to estimate travel distance in a city with a grid layout?

Euclidean metric

Taxicab metric

Maximum metric

Discrete metric

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the maximum metric used for in chess?

Determining the number of moves for a king.

Calculating the shortest path for a knight.

Finding the distance for a bishop.

Measuring the area of the board.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which metric is used to calculate the number of moves a king needs to reach a square in chess?

Taxicab metric

Euclidean metric

Maximum metric

Discrete metric

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